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12330444 = 2237181811
BaseRepresentation
bin101111000010…
…010111001100
3212012110012010
4233002113030
511124033234
61120141220
7206543550
oct57022714
925173163
1012330444
116a62055
124167810
132729529
1418cd860
1511386e9
hexbc25cc

12330444 has 48 divisors (see below), whose sum is σ = 33103616. Its totient is φ = 3499200.

The previous prime is 12330443. The next prime is 12330473. The reversal of 12330444 is 44403321.

12330444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 12330444.

It is not an unprimeable number, because it can be changed into a prime (12330443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14799 + ... + 15609.

Almost surely, 212330444 is an apocalyptic number.

12330444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12330444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16551808).

12330444 is an abundant number, since it is smaller than the sum of its proper divisors (20773172).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12330444 is a wasteful number, since it uses less digits than its factorization.

12330444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1006 (or 1004 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 12330444 is about 3511.4731951134. The cubic root of 12330444 is about 231.0253153418.

Adding to 12330444 its reverse (44403321), we get a palindrome (56733765).

The spelling of 12330444 in words is "twelve million, three hundred thirty thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 181 362 543 724 811 1086 1267 1622 2172 2433 2534 3244 3801 4866 5068 5677 7602 9732 11354 15204 17031 22708 34062 68124 146791 293582 440373 587164 880746 1027537 1761492 2055074 3082611 4110148 6165222 12330444